The car manufacturer has already seen presentations from several networks and has shortlisted two. The winning outfit will produce a one-off campaign, promoting the car in several markets throughout Europe.
The Phantom was launched two years ago with the intention of catapulting Rolls-Royce back to the top of the luxury car market. The car is a saloon, which boasts a lightweight, super-strength aluminium chassis, a luxury wood veneer and an umbrella concealed in the door frame.
Famous owners of the brand include the rapper Sean "P Diddy" Combs.
A second version of the car - featuring an extended wheelbase and extra interior space - was launched earlier this year in Geneva.
The pitch is not thought to affect Rolls-Royce's UK agencies - Tequila\ Manchester and Citigate Albert Frank.